Holography and Defect Conformal Field Theories Export

@article{citeulike:4632183, abstract = {We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS\_5 x S^5 bisected by an AdS\_4 x S^2 "brane", is dual to N=4 Super Yang-Mills theory in R^4 coupled to an R^3 defect. We propose a complete Lagrangian for the field theory dual, a novel "defect superconformal field theory" wherein a subset of the fields of N=4 SYM interacts with a d=3 SU(N) fundamental hypermultiplet on the defect preserving conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped D5 modes on AdS\_4 x S^2 leads to towers of short representations of OSp(4|4), and we construct the map to a set of dual gauge-invariant defect operators O\_3 possessing integer conformal dimensions. Gravity calculations of \<O\_4\> and \<O\_4O\_3\> are given. Spacetime and N-dependence matches expectations from dCFT, while the behavior as functions of lambda = g^2 N at strong and weak coupling is generically different. We comment on a class of correlators for which a non-renormalization theorem may still exist. Partial evidence for the conformality of the quantum theory is given, including a complete argument for the special case of a U(1) gauge group. Some weak coupling arguments which illuminate the duality are presented.}, archivePrefix = {arXiv}, author = {Dewolfe, Oliver and Freedman, Daniel Z. and Ooguri, Hirosi}, citeulike-article-id = {4632183}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0111135}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0111135}, day = {13}, eprint = {hep-th/0111135}, keywords = {ads-cft, cft, d-branes, holography, msym}, month = {Nov}, posted-at = {2009-05-25 17:04:14}, priority = {2}, title = {Holography and Defect Conformal Field Theories}, url = {http://arxiv.org/abs/hep-th/0111135}, year = {2003} }

TY - JOUR ID - citeulike:4632183 L3 - citeulike-article-id:4632183 N2 - We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as AdS_5 x S^5 bisected by an AdS_4 x S^2 "brane", is dual to N=4 Super Yang-Mills theory in R^4 coupled to an R^3 defect. We propose a complete Lagrangian for the field theory dual, a novel "defect superconformal field theory" wherein a subset of the fields of N=4 SYM interacts with a d=3 SU(N) fundamental hypermultiplet on the defect preserving conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped D5 modes on AdS_4 x S^2 leads to towers of short representations of OSp(4|4), and we construct the map to a set of dual gauge-invariant defect operators O_3 possessing integer conformal dimensions. Gravity calculations of <O_4> and <O_4O_3> are given. Spacetime and N-dependence matches expectations from dCFT, while the behavior as functions of lambda = g^2 N at strong and weak coupling is generically different. We comment on a class of correlators for which a non-renormalization theorem may still exist. Partial evidence for the conformality of the quantum theory is given, including a complete argument for the special case of a U(1) gauge group. Some weak coupling arguments which illuminate the duality are presented. TI - Holography and Defect Conformal Field Theories KW - ads-cft KW - cft KW - d-branes KW - holography KW - msym AU - Dewolfe, Oliver AU - Freedman, Daniel AU - Ooguri, Hirosi PY - 2003/Nov/13/ UR - http://arxiv.org/abs/hep-th/0111135 ER -